Multi-objective versus single-objective optimization frameworks for designing photonic crystal filters

Seyed Mohammad Mirjalili; Behnaz Merikhi; Seyedeh Zahra Mirjalili; Milad Zoghi; Seyedali Mirjalili

doi:10.1364/AO.56.009444

Applied Optics
Vol. 56,
Issue 34,
pp. 9444-9451
(2017)
•https://doi.org/10.1364/AO.56.009444

Multi-objective versus single-objective optimization frameworks for designing photonic crystal filters

Seyed Mohammad Mirjalili, Behnaz Merikhi, Seyedeh Zahra Mirjalili, Milad Zoghi, and Seyedali Mirjalili

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Seyed Mohammad Mirjalili, Behnaz Merikhi, Seyedeh Zahra Mirjalili, Milad Zoghi, and Seyedali Mirjalili, "Multi-objective versus single-objective optimization frameworks for designing photonic crystal filters," Appl. Opt. 56, 9444-9451 (2017)

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Abstract

This paper proposes a novel framework for multi-objective optimization of photonic crystal (PhC) filters and compares it with a single-objective optimization approach. In this framework, an optimizer called the Multi-Objective Gray Wolf Optimizer has been utilized to automatically find the optimal designs. The proposed method is able to design any kind of PhC filter. As a case study, a new structure of super defect PhC filter for application in the wavelength-division multiplexer (WDM) is designed using the framework. The results show that the proposed framework is comprehensive and able to find a significantly wide range of optimal designs for general and specific application, such as WDM with respect to each defined WDM standard.

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Iter	$R_{1}$	$R_{2}$	$R_{3}$	$R_{4}$	$R_{5}$	${Amp}_{c}$	${Amp}_{s}$	$D (nm)$	Objective	$Q$
1	105	237	205	236	64	0.176	0.0017	0.886	0.198	1017
24	9	197	204	168	267	0.1	0.0023	0.409	0.242	678
25	85	243	195	272	101	0.197	0.0019	0.257	0.759	1018
49	146	141	272	52	56	0.144	0.0089	0.028	3.911	957
197	142	147	168	20	57	0.202	0.0008	0.028	7.014	1163

Label	$R_{1}$	$R_{2}$	$R_{3}$	$R_{4}$	$R_{5}$	${Amp}_{c}$	${Amp}_{s}$	$D (nm)$	$Q$
S1	168	174	119	180	47	0.285	0.0116	3.866	858
S2	79	195	58	172	71	0.258	0.0023	1.114	905
S3	126	175	66	185	76	0.258	0.0047	0.733	856
S4	172	175	87	181	85	0.255	0.004	0.067	708
S5	76	207	57	173	69	0.219	0.0008	1.779	1086
S6	112	204	66	173	58	0.17	0.0004	0.314	1252

Channel #	$R_{1}$	$R_{2}$	$R_{3}$	$R_{4}$	$R_{5}$	${Amp}_{c}$	${Amp}_{s}$	$D (nm)$	$Q$
1	111	172	124	161	139	3.71	0.01	0.39	1731
2	128	166	155	163	117	5.18	0.02	0.69	1232
3	131	154	183	67	131	5.15	0.02	0.66	1413
4	172	175	87	181	85	4.81	0.13	0.09	759
5	158	168	202	205	41	6.38	0.09	0.33	761
6	197	119	143	193	87	6.2	0.02	0.02	1258

Iter	$R_{1}$	$R_{2}$	$R_{3}$	$R_{4}$	$R_{5}$	${Amp}_{c}$	${Amp}_{s}$	$D (nm)$	Objective	$Q$
1	105	237	205	236	64	0.176	0.0017	0.886	0.198	1017
24	9	197	204	168	267	0.1	0.0023	0.409	0.242	678
25	85	243	195	272	101	0.197	0.0019	0.257	0.759	1018
49	146	141	272	52	56	0.144	0.0089	0.028	3.911	957
197	142	147	168	20	57	0.202	0.0008	0.028	7.014	1163

Label	$R_{1}$	$R_{2}$	$R_{3}$	$R_{4}$	$R_{5}$	${Amp}_{c}$	${Amp}_{s}$	$D (nm)$	$Q$
S1	168	174	119	180	47	0.285	0.0116	3.866	858
S2	79	195	58	172	71	0.258	0.0023	1.114	905
S3	126	175	66	185	76	0.258	0.0047	0.733	856
S4	172	175	87	181	85	0.255	0.004	0.067	708
S5	76	207	57	173	69	0.219	0.0008	1.779	1086
S6	112	204	66	173	58	0.17	0.0004	0.314	1252

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Applied Optics